992713320 has 384 divisors, whose sum is σ = 3566384640. Its totient is φ = 248002560.

The previous prime is 992713313. The next prime is 992713357. The reversal of 992713320 is 23317299.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18730414 + ... + 18730466.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^992713320 is an apocalyptic number.

992713320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

992713320 is an abundant number, since it is smaller than the sum of its proper divisors (2573671320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

992713320 is a wasteful number, since it uses less digits than its factorization.

992713320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 992713320 is about 31507.3534274144. The cubic root of 992713320 is about 997.5651831450.

The spelling of 992713320 in words is "nine hundred ninety-two million, seven hundred thirteen thousand, three hundred twenty".